Aimee went to Rue 21 and found a shirt for $26.50. It is on sale for $15.90. Find the percent of discount.

The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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Answer:

40 feet?

Step-by-step explanation:

11 ft + 3 ft + 4 ft + 6 ft + 3 ft + 3 ft + 4 ft + 6 ft = 40

Answer:

k = -0.1

Step-by-step explanation:

An ordered pair is in the form (x,y)  We can use the x and y from the point (-30,3) to find k

y = kx  We will replace x with -30 and y with 3

3 = (-30)k  divide both sides by -30

-0.1 = k  or \(\frac{-1}{10}\) in the fraction form

Answer:

Becky is 7 years old.

Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.

Answer:

Becky's 7 seven years old

Step-by-step explanation:

If 21 = 3x

x = 21/3

x = 7

Hope this helps :)

Pls brainliest...

After simplifying an equation the value of x is x = 3.

What is solving an equation?

Unifying Principle for Equation Solving

By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.

The variable term on one side of the equation can be separated using addition or subtraction.

To find the variable, use multiplication or division.

Consider, the given equation

     5(2x - 4) = 10

      10x - 20 = 10                                  Removing parenthesis

10x -20 + 20 = 10 + 20                         Adding 20 on both sides

              10x = 30                                 Simplifying

                  x = 3                                    Dividing both sides by 10

Hence, the value of x is, x = 3.

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Answer:

It is linear. The constant rate of change is 3 cents per hour.

Step-by-step explanation:

15/5 = 3

24/8 = 3

36/12 = 3

72/24 = 3

Answer:

21

Step-by-step explanation:

Answer

(MIGHT BE WRONG)

I'm pretty sure 21

Step-by-step explanation:

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Answer:

Your answers are 6m-2m+12 and 4(m+3).

Step-by-step explanation:

This is because for 6m-2m+12, you are dealing with like terms. You are subtracting 6m-2m.

4(m+3) on the other hand, you are using the distributive property. You would carry the 4 to the m and to the 3.

Once you've done that with both of those expressions, they will both equal 4m+12.

Expression is a set of numbers, variables, and mathematical operations formed. The expression 4m+12 can be written as 4(m+3).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

In the given expression  4m + 12, there are 2 terms and both of these terms have 4 as the common factor, therefore, we can write the expression as,

\(4m +12\\\\= 4m+(4 \times 3)\\\\ = 4(m + 3)\)

Hence, the expression 4m+12 can be written as 4(m+3).

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Answer:

B) 4 one-point baskets: 5 three-point baskets

Step-by-step explanation:

(4 x 1) + (5 x 3) = 19

Step-by-step explanation:

hope it will help you ......

Answer:

1/4

Step-by-step explanation:

6/12 - 5/12 + 4/12 - 3/12 + 2/12 - 1/12

= ( 6 - 5 + 4 - 3 + 2 - 1 ) / 12

= ( 6 + 4 + 2 - 5 - 3 - 1 ) / 12

= ( 12 - 9 ) / 12

= 3 / 12

= 1 / 4

\(\dfrac{x+4}{3} =7\)

Multiply both sides by 3:

\((\dfrac{x+4}{3} )\times3=(7)\times3\)

\(x+4=21\)

Subtract 4 from both sides:

\(x+4-4=21-4\)

\(\boxed{x=17}\)

Answer:

12.7  ==> distance of RS

24.2 ==> distance of RT

Step-by-step explanation:

Distance is always positive. So if you get a negative value, take the absolute value of the negative number:

For example, between point R and S:

-17.2 - (-4.5) =

-17.2 + 4.5 =  ==> subtracting a negative number is equivalent to adding a

                           positive number

-(17.2 - 4.5) = -12.7

-12.7 ==> |-12.7| = 12.7  ==> distance of RS

For RT:

-17.2 - 7 =

-(17.2 + 7) = -24.2

-24.2 ==> |-24.2| = 24.2 ==> distance of RT

Answer:

The value of x is 19.

Step-by-step explanation:

Given:

m∠1 = (4x + 9)°

m∠2 = (x - 14)°

Since m∠1 and m∠2 are complementary angles, we have:

m∠1 + m∠2 = 90°

Substituting the given expressions for m∠1 and m∠2:

(4x + 9)° + (x - 14)° = 90°

Combining like terms:

4x + 9 + x - 14 = 90

Combining the x terms and the constant terms:

5x - 5 = 90

Adding 5 to both sides:

5x = 90 + 5

Simplifying:

5x = 95

Dividing both sides by 5:

x = 95 / 5

Simplifying further:

x = 19

Answer:

3

Step-by-step explanation:

The base is the number below the exponent.

Answer: x = 9

Step-by-Step Solution:

Hypotenuse = 15 units

Base = 12 units

Altitude = x units

Using Pythagoras Theorem,

=> Hypotenuse^2 = Base^2 + Altitude^2

(15)^2 = (12)^2 + x^2

225 = 144 + x^2

225 - 144 = x^2

81 = x^2

x^2 = 81

x = √81

=> x = 9

Therefore, Altitude = 9 units

Answer:

f(n) = -3n + 24

Step-by-step explanation:

Let the function representing Number of meals and amount of Pet Food remaining is,

f(n) = an + b

Where a = number of meals dispensed

n = amount of Pet food per meal

b = Initial amount of Pet food

From the table attached,

For n = 1 and f(n) = 21,

21 = a(1) + b

a + b = 21 -----------(1)

For n = 3 and f(n) = 15,

15 = a(3) + b

3a + b = 15 -----------(2)

Equation (2) - equation (1),

(3a + b) - (a + b) =  15 - 21

a = -3

From equation (1),

-3 + b = 21

b = 24

Therefore, function will be,

f(n) = -3n + 24

Answer:f(n)=-3+24

Explanation

Unit rate of the table is three therefore taking away 3 cups each time food is dispensed aka -3n. 24 represents the starting point. 21+3=24

Step-by-step explanation:

Hey there!

Look explanation in picture.

Hope it helps....

Answer:

-5/3

Step-by-step explanation:

trust me bro

Answer:

Use desmos

Step-by-step explanation:

Basically it is a graphing calculator put your points

Answer:

(a) BC = 91 cm

(b) ∠C = 33.4° (nearest tenth)

(c) AD = 79.5 cm (nearest tenth)

Step-by-step explanation:

(a) Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

⇒ 60² + BC² = 109²

⇒ 3600 + BC² = 11881

⇒ BC² = 11881 - 3600

⇒ BC² = 8281

⇒ BC = √(8281)

⇒ BC = 91 cm

(b) Sine rule to find an angle:

   \(\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

(where A, B and C are the angles, and a, b and c are the sides opposite the angles)

Given:

\(\implies \dfrac{\sin (90)}{109}=\dfrac{\sin C}{60}\)

\(\implies \sin C=60 \cdot\dfrac{\sin (90)}{109}\)

\(\implies \sin C=\dfrac{60}{109}\)

\(\implies C=33.39848847...\textdegree\)

\(\implies C=33.4\textdegree \ \sf(nearest \ tenth)\)

(c) Sine rule to find a side length:

   \(\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

(where A, B and C are the angles, and a, b and c are the sides opposite the angles)

Sum of interior angles of a triangle = 180°

Given:

\(\implies \dfrac{AD}{\sin (90)}=\dfrac{60}{\sin (49)}\)

\(\implies AD=\sin (90) \cdot \dfrac{60}{\sin (49)}\)

\(\implies AD=79.5007796...\)

\(\implies AD=79.5 \ \sf cm \ (nearest \ tenth)\)

Answer:

Step-by-step explanation:

To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.

Given:

Average daily balance for November = $700

Unpaid balance at the end of November = $1,400

Annual percentage rate (APR) = 15.6%

Step 1: Calculate the interest charged for the month of November.

Interest = (Average daily balance * APR * Number of days in the month) / 365

Number of days in November = 30

Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)

Step 2: Add the interest to the unpaid balance to get the total balance on December 1.

Total balance = Unpaid balance + Interest

Total balance = $1,400 + $36.44 = $1,436.44

Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).

The total balance on the next billing date December 1 is $1,509.20.

The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).

Given,

Then, the percentage rate for November = \(\sf\frac{15.6}{100}\) × 700

\(\sf = \$109.20\)

Balance on 1st December = unpaid balance at the end of November + percentage rate

\(\sf = $1400 +$109.20\)

\(\sf =\$1509.20\)

Therefore, the total balance on the next billing date December 1 is $1,509.20.

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Answer:

the problem is 1/7x+1/8?

Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

Slope m = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

Answer:

y=\(\frac{6}{5}x-5\)

Step-by-step explanation:

Notice for this problem, point(0,-5) and (5,1) is being given.

Use the formula (y2-y1)/(x2-x1)

(-5-1)/(0-5)

=6/5

This finds the slope of the function.

To find the y-intercept, it is where the graph first intercept the y-axis.

In this case, it intercept it at y=-5.

Thus, the answer is y=6/5x-5

Step-by-step explanation:

Equal sets are those set which contain same no. elements and have same numbers but equivalent sets are those who contain same number of elements but donot contain exact number. So, they are different.

The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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